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Finding the Fourth Proportional to 863.24, 1,291.91 and 550.73

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Solution

The fourth proportional to 863.24, 1,291.91 and 550.73 is: 824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.24 : 1,291.91 = 550.73 : x
  2. Step 2: Convert to fraction form
    863.24/1,291.91 = 550.73/x
  3. Step 3: Cross multiply
    863.24x = 1,291.91 × 550.73
  4. Step 4: Simplify right side
    863.24x = 711,484.38
  5. Step 5: Solve for x
    x = 711,484.38/863.24
  6. Step 6: Final answer
    x = 824.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.